The direct detection for the DM mass at the \(\sim 1\)  TeV order is bounded by the PANDAX2017. It has the upper bound for the
spin independent (SI) cross section of \(\sigma ^{SI} \lesssim 10^{-9}\)  pb [1]}. The XENON1T(2t.y) has the limit at
one order below \(\sigma ^{SI} \lesssim 10^{-10}\)  pb [2]}. The SI cross section
for nucleon-scalar DM process \(\chi \, N \rightarrow \chi \, N\)  is given by the expression :
\(\sigma ^{SI}\simeq \frac{1}{81\pi } \frac{g_{X}^4}{\tan ^{4}\theta _{W}} \frac{\mu _{N}^{2}}{m_{Z^{\prime }}^{\, 4}}\simeq 2.413 \times 10^{-7} \,\left( \frac{\mu _{N}}{1 \, \mbox{GeV}} \right)^{2} \left( \frac{1 \, \mbox{TeV}}{m_{Z^{\prime }}} \right)^{4} \, (\mbox{pb}) \; ,\) 
